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Finding the Fourth Proportional to 98,489.94, 147,498.17 and 56,242.11

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Solution

The fourth proportional to 98,489.94, 147,498.17 and 56,242.11 is: 84,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,489.94 : 147,498.17 = 56,242.11 : x
  2. Step 2: Convert to fraction form
    98,489.94/147,498.17 = 56,242.11/x
  3. Step 3: Cross multiply
    98,489.94x = 147,498.17 × 56,242.11
  4. Step 4: Simplify right side
    98,489.94x = 8,295,607,759.10
  5. Step 5: Solve for x
    x = 8,295,607,759.10/98,489.94
  6. Step 6: Final answer
    x = 84,227.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.